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Finding the Fourth Proportional to 6,372.53, 9,541.66 and 5,197.69

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Solution

The fourth proportional to 6,372.53, 9,541.66 and 5,197.69 is: 7,782.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,372.53 : 9,541.66 = 5,197.69 : x
  2. Step 2: Convert to fraction form
    6,372.53/9,541.66 = 5,197.69/x
  3. Step 3: Cross multiply
    6,372.53x = 9,541.66 × 5,197.69
  4. Step 4: Simplify right side
    6,372.53x = 49,594,590.77
  5. Step 5: Solve for x
    x = 49,594,590.77/6,372.53
  6. Step 6: Final answer
    x = 7,782.56

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.